5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ?

A) 15	B) 20
C) 5	D) 10

Answer & Explanation Answer: B) 20

Explanation:

Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.

So, there is one way of doing it.

Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.

The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

Required number of numbers = (1 x 5 x 4) = 20.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams
Job Role: Project Manager , Bank PO , Bank Clerk

12 8518

Q:

The value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ is:

A) 4	B) 6
C) 8	D) 10

Answer & Explanation Answer: A) 4

Explanation:

$\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + 15}}}} \sqrt{10 + \sqrt{25 + \sqrt{108 + 13}}} \sqrt{10 + \sqrt{25 + 11}} \sqrt{10 + 6} \sqrt{16} = 4$

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

29 8510

Q:

If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?

A) 6	B) 8
C) 4	D) 9

Answer & Explanation Answer: C) 4

Explanation:

N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

= H.C.F. of 3360, 2240 and 5600 = 1120.

Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

17 8505

Q:

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to ___ ?

A) 3.7	B) 2.7
C) 3.6	D) 2.9

Answer & Explanation Answer: D) 2.9

Explanation:

x^z = y² 10^(0.48z) = 10^{(2 x 0.70)} = 10^1.40

0.48z = 1.40

z = 140/18 = 35/12 = 2.9 (approx.)

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

10 8491

Q:

The following chart represents the number of students who passed the CAT exam or the XAT exam or the CET exam or None of these exams. (Assume that there are no students who passed more than one exam.)

Number of students who qualified CAT/XAT/CET Exams

1. Which year showed the best result in MBA entrance exams (in terms of percentage of students who cleared) ?

1. 2000 2. 2001 3. 2002 4. Cannot be determined

2. What was the percentage of students who succeeded in at least one of three exams in 2000 ?

1. 82.4% 2. 82.8% 3. 82.35% 4. 83.3%

3. What is the percentage increase in the number of students in 2002 over 2000 ?

1. 30% 2. 17.64% 3. 117.6% 4. 85%

4. What is the percentage of students who cleared CAT in 2000 ?

1. 19.56% 2. 12.65% 3. 14.28% 4. 11.76%

Answer

1. ANSWER : 2

Explanation - Compare the respective pass percentage for three years : 2000, 2001 and 2002

= (140 x 100)/170 < (150 x 100)/180 and (150 x 100)/180 > (160 x 100)/200

= 82.35% < 83.33% and 83.33% > 80%

2. ANSWER : 3

Explanation - Total percentage of students who succeeded in at least one of three exams in 2000 = (140 x 100)/170= 82.35 %

3. ANSWER : 2

Explanation - Total percentage increase in the number of students in 2002 over 2000 is = (30 x 100)/170 =17.64 %

4. ANSWER : 4

Explanation - Total percentage of students who cleared CAT in 2000 =(20 x 100)/170 = 11.76 %

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Subject: Bar Charts

28 8489

Q:

A fast moving superfast express crosses another pasenger train in 20 seconds. The speed of faster train is 72 km/hr and speeds of slower train is 27 km/h. Also the length of faster ntrain is 100m, then find the length of the slower train if they are moving in the same direction.

A) 100 m	B) 125 m
C) 150 m	D) 175 m

Answer & Explanation Answer: C) 150 m

Explanation:

$T i m e = \frac{S u m o f l e n g t h o f t h e t w o t r a i n s}{D i f f e r e n c e i n s p e e d s}$

$20 = \frac{(100 + x)}{\frac{25}{2}}$

$\Rightarrow$ X=150m

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Filed Under: Logarithms

45 8487

Q:

40 % of 250 = 50% ?

A) 200	B) 100
C) 150	D) 400

Answer & Explanation Answer: A) 200

Explanation:

As per given

$\frac{40}{100} \times 250 = \frac{50}{100} \times x$

$\Rightarrow x = 200$

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
Job Role: Bank PO

6 8481

Q:

What are the Multiples of 6 and the Common Multiples of 4 and 6?

A) 12, 34, 42	B) 12, 18, 36,
C) 6, 4, 14	D) 4, 8, 16

Answer & Explanation Answer: B) 12, 18, 36,

Explanation:

The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

10 8478

Aptitude and Reasoning Questions

What are Different sections in Aptitude and Reasoning Question and Answers?

Why Aptitude and Reasoning Questions?

What type of questions are there in Aptitude and Reasoning tests?

Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Data Interpretation

Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

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